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Hey this is my first tab but I worked this song out a while ago for a performance, 
it's sounds like the recording. HOWEVER it is different to their acoustic version 
because they use multiple guitars and lead, also it sounds good if once every 
break section you run up the fret board to 12.
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Intro:

F Am G
F Am G

Verse :

F                          Am                  G
I'm a captain lost at sea, in the deep heading straight to the bottom
F
Are you alone when you think of me?
Am                          G
Just take a deep breath and watch me go down


F                         Am                  G
I'm a pilot falling free, about to crash land straight to the bottom
F
Are you alone when you think of me?
Am                          G
Just take a deep breath and watch me go down

Bridge:

F                   Am G
I wanna be like you
F                       Am G
And I wanna see like you

Chorus:

F                                 Am                 G
And I'm a bird with broken wings, descending so fast straight to the bottom
F
Are you alone when you think of me
Am                          G
Just take a deep breath and watch me go down
F                               Am                      G
And I'm a man with many dreams, I've seen them all fall straight to the 

bottom
F
I'm all alone inside your sea
Am                           G
Just take a deep breath, and watch me go down

Bridge:

F                      Am G
And I wanna be like you
F                      Am G
And I wanna see like you
F             Am
I wanna be and I wanna see
G               Am G F
I wanna be like you

Verse:

F
My paper wings never learn to fly
Am
And I'm a fake cause I never tried
G
I fell asleep in a life of lies
F
With my conscience kicking in I could never get through to you
Am
And I will swim through this mess I've made
G
Where I can pray for a tidal wave
F
So you can watch my body fade
Am               G
Into the horizon the oceans have me now


F                            Am G
And can you feel me dreaming of you
F                            Am G
And can you feel me dreaming of you


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I hope this helped feel free to comment any corrections, this might not be right 
but it sounds okay to me :)